Course detail

Fluid Power Modeling

FSI-MTM Acad. year: 2026/2027 Summer semester

The cours deals with the following topics: basic theory, notions and definitions of mathematical modelling of fluid power systems. It gives an overview of the main simulation tools as well as electro-hydraulic analogy. Energy transfer, efficiency and characteristics are emphasised in the part concerning the displacement pumps. Seminars complement lectures.

Supervisor

prof. Ing. František Pochylý, CSc.

Department

Energy Institute

Learning outcomes of the course unit

Prerequisites

Necessary knowledge: differential and integral calculus, hydrostatics and hydrodynamics, gas mechanics, numerical mathematics.

Planned learning activities and teaching methods

Assesment methods and criteria linked to learning outcomes

Course-unit credit is awarded on the following conditions – sufficient attendance and running knowledge of the subject-matter.Examination.

Examination requirements – course-unit credit, knowledge of the subject-matter and ability to apply it to the given examples. The exam has a written and an oral part. The oral exam is not compulsory. It is used for the classification finishing. The overall evaluation is according to the ECTS scale.

Language of instruction

Czech

Aims

Specification of controlled education, way of implementation and compensation for absences

The study programmes with the given course

Programme N-ETI-P: Power and Thermo-fluid Engineering, Master's
branch FLI: Fluid Engineering, 4 credits, compulsory

Type of course unit

 

Lecture

13 hours, optionally

Syllabus


  1. Hydraulic mechanisms mathematical modelling – basic concepts and definitions, non-linearities, specific problems.

  2. Mathematical modelling of elementary hydraulic elements.

  3. Transfer functions and system stability.

  4. Mathematical model of hydraulic rotary pump.

  5. Mathematical model of hydraulic motor.

  6. Speed regulation of hydraulic motor.

  7. Mathematical model of hydraulic cylinder.

  8. Mathematical model of hydraulic accumulator.

  9. Mathematical models of control elements and hydraulic lines.

  10. Laws of air flowing through tubing, air spring stiffness.

  11. Mathematical model of pneumatic cylinder.

  12. Mathematical model of pneumatic vane motor.

  13. Energy conversion resistances, flow and throttle calculation in a pneumatic system.

Laboratory exercise

13 hours, compulsory

Syllabus


  1. Resistance against motion computations.

  2. Resistance against acceleration computations.

  3. Resistance against deformation computations.

  4. Pipeline modelling.

  5. Valves modelling.

  6. Determination of amplitude frequency response and maximum amplitude of resonance peak.

  7. Linear mathematical model and step response of the system.

  8. Analytic computation of hydraulic mechanism acceleration and deceleration.

  9. Forced oscillations in the hydraulic circuit.

  10. Calculation of natural frequency of linear hydraulic motor.

  11. Pneumatic computations of a pneumatic system elements.

  12. Description of mathematical model of simple hydraulic circuit.

  13. Computation of pressure and flow relations in a system equipped with a piston pump.